Question

Darnelle drew this figure and the accompanying equations.

w + x + y = 180 y + z = 180Which equation must also be true?
A
w + z = 180
B
y – x = w
C
w + x + z = 180
D
w + x = z

Answer 1

Option D. w + x = z

Explanation:

see the attached figure to better understand the problem

we have

`w+x+y=180` ----> equation A

`y+z=180` ----> equation B

equate equation A and equation B

`w+x+y=y+z`

Subtract y both sides

`w+x=z`

This equation satisfy the Triangle Exterior Angle Theorem (An exterior angle of a triangle is equal to the sum of the opposite interior angles)